# Difference Between BFS and DFS (With Table)

BFS and DFS are both vital for graph findings. BFS stands for Breadth-First Search, and DFS stands for Depth-First Search. Both of them have a distinction between two. Both of them even uses different data structure for the functioning, one using the Queue data structure, another being the Stack data structure.

## BFS vs DFS

The main difference between BFS and DFS is that Breadth-First Search is a technique based on the vertex that helps in pointing out the shortest path in a graph. On the other hand, the DFS or Depth First Search is a technique that is based on edge. The BFS is a technique that depends on the queue data structure. On the other hand, the DFS depends on the Stack data structure.

BFS is a technique that is applied for figuring out the shortest route in a graph by using Queue data structure. It is suitable for finding vertices within close areas of the source. Unlike DFS, it cannot be better applied in decision-making trees found in puzzles or games.

DFS is a technique that is applied for finding out the shortest path in a graph using the Stack data structure. It is suitable for areas far from the sources within the solution. Unlike BFS, it can be better applied in decision-making or problem-solving in games.

## What is BFS?

With the help of BFS, the graph is traversed in a bread toward motion. For remembering to fetch the next vertex, a queue is used in this technique. This occurs when it faces a dead end in an iteration. It is not considered for decision trees as it vastly embraces all neighbors. It is comparatively slow than DFS. The BFS algorithm BFS’s time complexity is O(V+E) during the time of Adjacent list and O(V^2) during the time of adjacency matrix. Here, E stands for edges and V stands for vertices. BFS algorithm in a graph can be used in different fields.

BFS is highly used for coining each and every neighbor node in peer-to-peer connections. The index is built with the help of this technique by the search engine crawlers. Ranging from source pages to new pages, it helps find all associated links. It is required for finding neighboring places with the help of a GPS navigation facility. BFS algorithm is used while broadcasting some packets in networking. The algorithm of pathfinding encompasses BFS. With the help of this technique, the highest flow in a network can be found in the Ford-Fulkerson algorithm.

## What is DFS?

With the help of DFS, a graph is traversed in depth-ward motion. A stack is used in this technique to get reminded of getting the point next to the former one. The search is done during the occurrence of any iteration. During the decision tree, further traverse should be made for augmentation of the decision. In conclusion, victory is acknowledged. it is comparatively fast in speed than BFS. DFS’s time complexity is O(V+E) during the Adjacent list and O(V^2) during the adjacent matrix. Here, E stands for edges and V stands for vertices. DFS is vastly used in different fields.

When DFS is performed on the unweighted graph, minimum spanning trees are developed for every shortest path tree pair. It can be applied for identifying cycles in graphs. If one back edge is found in BFS, then there is one cycle. The path among u and v or two vertices can be found with the help of this technique. DFS algorithm is used for topological sorting. It can be used for determining the components that are strongly linked in a given graph. Components are coined to be strongly connected when there is a path between each vertex.

## Main Differences between BFS and DFS

1. The full form of BFS is Breadth-First Search and DFS is Depth First Search.
2. BFS is a vertex-centric technique and DFS is an edge-centric technique.
3. BFS utilizes Queue data structure but DFS works with Stack Dara structure.
4. BFS works to figure the shortest path of a single source since it uses the minimum count of edges from a vertex origin. On the other hand, the DFS utilizes more edges for traversing to reach a point of destination or Vertex.
5. BFS is not suitable for getting applied in decision-making trees that are in puzzles or games. On the other hand, DFS is suitable for problem-solving in games.

## Conclusion

Thus, it can be concluded by saying that BFS and DFS are distinctly different from each other. BFS is used in a graph to find the shortest path with the help of queue data structure and DFS is used in a graph for finding the shortest path with the help of stack data structure. BFS chooses a single vertex during its visit and marked following which the adjacent is visited and collected in the queue. On the other hand, in DFS vertices visited are included in the stack and in absence of vertices, vertices are popped. BFS’s technique is based on vertex and DFS’s technique is based on edge.

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